Multi-optimisation of the screw kick in rugby by using a genetic algorithm |
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| Authors: | K Seo O Kobayashi M Murakami |
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| Institution: | (1) Yamagata University, 1-4-12 Kojirakawa, 990-8560 Yamagata, Japan;(2) Department of Aeronautics & Astronautics, Tokai University, Japan;(3) Graduate School of Systems & Information Engineering, University of Tsukuba, Japan |
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| Abstract: | This paper describes the use of Pareto-optimal solutions for the screw kick in rugby. We attempted to optimise the initial
conditions for a screw kick. The optimisation was carried out using an elitist non-dominated sorting genetic algorithm. Distance
achieved in flight is considered as an objective function, as well as the lateral deviation between the ball and the touchline,
or the flight time. Six initial conditions were defined as control parameters: the magnitude of the velocity vector, the flight
path angle, the azimuth angle, the spin rate, the pitch angle and the yaw angle. The results are summarised as follows: it
is impossible for both objective functions to be satisfied simultaneously, although the greatest distance achieved in flight
and the smallest value of the lateral deviation between the ball and the touchline, or the least flight time, is the ideal
situation. This kind of conflicting solution is called a ‘Pareto-optimal solution’. The optimal kick in Pareto-optimal solutions
made by the leg nearest the touchline produces a greater flight distance than the optimal kick in Pareto-optimal solutions
made using the leg furthest from the touchline. The initial pitch angle, which is the angle between the longitudinal axis
of the ball and the horizontal plane, should be comparable to or slightly greater than the initial flight path angle in order
to satisfy the Pareto-optimal solutions. |
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| Keywords: | genetic algorithm multi-optimisation rugby football screw kick |
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